A note on teleparallel Killing vector fields in Bianchi type Ⅷ and Ⅸ space-times in teleparallel theory of gravitation

• 来源期刊: 中国物理B(英文版)
• 学科: 物理学
• 关键词: 万有引力 向量场 类型 空间 广义相对论 集成技术 时间
• 年，卷（期）: 2011,（7）
• 页码范围: 070401.1-070401.6
• 页数: 2页
• 分类号: O314
• 语种: 英文
• DOI: 10.1088/1674-1056/20/7/070401

摘要

In this paper we classify Bianchi type Ⅷ and Ⅸ space-times according to their teleparallel Killing vector fields in the teleparallel theory of gravitation by using a direct integration technique.It turns out that the dimensions of the teleparallel Killing vector fields are either 4 or 5.From the above study we have shown that the Killing vector fields for Bianchi type VIII and IX space-times in the context of teleparallel theory are different from that in general relativity.